PDE INTRODUCTION TO X PDE *MATH112-Notes.p X *exercises-week6.pc X Assignment 1.pdf X PDF Quiz1 (3).pdf X *Homework Help - C X + X G @ File | C:/Users/himan/Downloads/Assignment%201.pdf . . . 1 of 1 Q + A Assessed Exercises Sheet 1 A1.1. Use the substitution x = a sinh u to work out the integral (a3 + 12) 1/2 dx. [4] A1.2. (i) Show that the Laplace transform of f(x) = x is _. (ii) Show by induction that the Laplace transform of " is - sn+I . (You may assume that Rentle sR > 0 as R -+ 0% for s > 0.) [6] Type here to search O 14:09 12.C 19/11/2021 FA